I'm afraid the official version is "sea-lack."
Frankly, I can't think of any circumstances under which someone would say "see the LAC" or "see a LAC" and have it confused with someone saying "C-LAC" simply because people aren't going to be
seeing LACs with their naked eyes (or even most optical sensors) at engagement ranges. Bit of gnat-straining here, I think.

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As a retired USN Blue Shirt, I can see some "unofficial" versions in use similar to the current Navy official Amphibious Assault Ship -- commonly referred to as a "Gator Freighter" or a little less derisively "Baby Flat-top".
C-LAC may be referred to as LAC-eys by those who stand in the wall. LAC crews will still be referred to (as currently) as Squadron-dales.
A "bit" more seriously, much as the early USN CV's transitioned from a CA / CL hull to a CB hull and with the Midway class to a BB hull, the Manty / Grayson CLAC will develop from a DN to a SD hull for capacity.
The Forestall class CV's originally had Terriers on them before BPDMS and SeaSparrow were developed.
Enterprise (my old ship) even was planned for a bank of 3 Polaris missiles.
Basicly, since Coral Sea and Midway (the battles), the carriers offensive arm is what it carries. Counter missiles and PDLC's are a future analog to SeaSparrow / RAM, R2D2 and the currently developing/deploying Anti-missile laser and rail guns.
The carrier's self-defense is for what gets past the task force screen.
-- Stewart / retired twigit